Volume 25 Issue 4
Apr.  1999
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Yuan Yunneng, Mao Shiyi. Representation of Signal in Tight Wavelet Frame and Best Wavelet Base[J]. Journal of Beijing University of Aeronautics and Astronautics, 1999, 25(4): 392-397. (in Chinese)
Citation: Yuan Yunneng, Mao Shiyi. Representation of Signal in Tight Wavelet Frame and Best Wavelet Base[J]. Journal of Beijing University of Aeronautics and Astronautics, 1999, 25(4): 392-397. (in Chinese)

Representation of Signal in Tight Wavelet Frame and Best Wavelet Base

  • Received Date: 01 Feb 1998
  • Publish Date: 30 Apr 1999
  • The subject on the representation of signal in tight wavelet frame and the selection of the best wavelet base was discussed. The relation between the wavelet frame representation and the wavelet base representations, which is very useful for interpreting the wavelet frame representation, is described. then the Mallat-pyramid algorithm for periodic tight wavelet frame decomposition and reconstruction is derived and it is proven that periodic wavelet frame by periodizing the tight wavelet frame with bound 1 in is a tight wavelet frame with bound 1. Finally based on the wavelet frame algorithm and criterion of minimizing an additive cost function, the selecting best wavelet base algorithm is proposed.

     

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